3 papers
math.CO2025
Quasi-coincidence of cluster structures on positroid varieties
Matthew Pressland
By work of a number of authors, beginning with Scott and culminating with Galashin and Lam, the coordinate rings of positroid varieties in the Grassmannian carry cluster algebra st…
math.RT2025
Cluster structures via representation theory: cluster ensembles, tropical duality, cluster characters and quantisation
Jan E. Grabowski, Matthew Pressland
We develop a general theory of cluster categories, applying to a 2-Calabi-Yau extriangulated category and cluster-tilting subcategory satisfying only mi…
math.RT2025
Cluster categories for completed infinity-gons I: Categorifying triangulations
Ä°lke Ãanakçı, Martin Kalck, Matthew Pressland
Paquette and Yıldırım recently introduced triangulated categories of arcs in completed infinity-gons, which are discs with an infinite closed set of marked points on their bound…